Late in the afternoon, Emek, Luna, and Nova reached a fork in the canyon trail. They had already traveled 3.65 kilometers and wanted to reach camp before dark. Their map showed that Route A continued for three sections measuring 1.75, 2.4, and 1.35 kilometers. Luna added the sections and found that Route A was 5.5 kilometers long. Route B had two sections measuring 2.85 and 3.1 kilometers, for a total of 5.95 kilometers. Emek compared the totals and saw that Route A was 0.45 kilometer shorter. Including the distance already traveled, Route A would make their entire journey 9.15 kilometers. The group chose the shorter route, followed the canyon markers, and reached camp with daylight still remaining.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Route A has three sections, so add all three section lengths.
Before choosing a route, Emek checks Luna's calculation for Route A. Which expression correctly finds the total length of Route A?
1.75 + 2.4 - 1.35 = 2.8 kilometers1.75 + 2.4 + 1.35 = 5.5 kilometers1.75 + 2.4 + 1.35 = 4.5 kilometers1.75 + 2.4 + 1.35 = 5.05 kilometersCorrect! Adding 1.75, 2.4, and 1.35 gives 5.5 kilometers.
Not quite. Add all three Route A section lengths and align the decimal places carefully.
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Hint
One kilometer contains 100 hundredths of a kilometer.
The group had already traveled 3.65 kilometers. If they had chosen Route B, which is 5.95 kilometers long, their entire journey would be 9.60 kilometers. How many hundredths of a kilometer is 9.60 kilometers?
Correct! 9.60 kilometers is 960 hundredths of a kilometer.
Try again. Think of 9.60 as a number of hundredths.
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Hint
Write 9.4 as 9.40 and subtract 9.15.
The group chose Route A, making the entire journey 9.15 kilometers. Suppose they could travel at most 9.4 kilometers before dark. Which statement correctly describes their choice?
Route A works because 9.15 is 0.25 kilometer less than 9.4.Route A does not work because 9.15 is 0.25 kilometer more than 9.4.Route A works because 9.15 is 0.15 kilometer less than 9.4.Route A does not work because 9.15 is 0.75 kilometer more than 9.4.Correct! 9.40 - 9.15 = 0.25, so Route A stays within the limit.
Not quite. Compare 9.15 with 9.40 and find the difference.
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